Strong continuity for the 2D Euler equations
نویسندگان
چکیده
منابع مشابه
On 2D Euler equations. I. On the energy–Casimir stabilities and the spectra for linearized 2D Euler equations
In this paper, we study a linearized two-dimensional Euler equation. This equation decouples into infinitely many invariant subsystems. Each invariant subsystem is shown to be a linear Hamiltonian system of infinite dimensions. Another important invariant besides the Hamiltonian for each invariant subsystem is found and is utilized to prove an ‘‘unstable disk theorem’’ through a simple energy–C...
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The work of Constantin-Majda-Tabak [1] developed an analogy between the Quasi-geostrophic and 3D Euler equations. Constantin, Majda and Tabak proposed a candidate for a singularity for the Quasi-geostrophic equation. Their numerics showed evidence of a blow-up for a particular initial data, where the level sets of the temperature contain a hyperbolic saddle. The arms of the saddle tend to close...
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ژورنال
عنوان ژورنال: Kinetic and Related Models
سال: 2015
ISSN: 1937-5093
DOI: 10.3934/krm.2015.8.685